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Finding the Fourth Proportional to 417,485.76, 626,324.16 and 180,867.84

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Solution

The fourth proportional to 417,485.76, 626,324.16 and 180,867.84 is: 271,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,485.76 : 626,324.16 = 180,867.84 : x
  2. Step 2: Convert to fraction form
    417,485.76/626,324.16 = 180,867.84/x
  3. Step 3: Cross multiply
    417,485.76x = 626,324.16 × 180,867.84
  4. Step 4: Simplify right side
    417,485.76x = 113,281,897,959.01
  5. Step 5: Solve for x
    x = 113,281,897,959.01/417,485.76
  6. Step 6: Final answer
    x = 271,343.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.